Answer:
3/5
Step-by-step explanation:
Parallel lines have equivalent slopes. Therefore, the slope of the parallel line to y = 3/5x + 13 would have to be 3/5.
<span>Since one standard deviation is 20 luggages, 3 standard deviations above the mean is 3*20=60 luggages above the mean of 380 luggages, so 60+380 gives the answer C, 440.</span>
Answer:
65
Step-by-step explanation:
the angle on top is the same because the lengths of the lines that meet to "H" are the same.
I think that the sum will always be a rational number
let's prove that
<span>any rational number can be represented as a/b where a and b are integers and b≠0
</span>and an integer is the counting numbers plus their negatives and 0
so like -4,-3,-2,-1,0,1,2,3,4....
<span>so, 2 rational numbers can be represented as
</span>a/b and c/d (where a,b,c,d are all integers and b≠0 and d≠0)
their sum is
a/b+c/d=
ad/bd+bc/bd=
(ad+bc)/bd
1. the numerator and denominator will be integers
2. that the denominator does not equal 0
alright
1.
we started with that they are all integers
ab+bc=?
if we multiply any 2 integers, we get an integer
<span>like 3*4=12 or -3*4=-12 or -3*-4=12, etc.
</span>even 0*4=0, that's an integer
the sum of any 2 integers is an integer
like 4+3=7, 3+(-4)=-1, 3+0=3, etc.
so we have established that the numerator is an integer
now the denominator
that is just a product of 2 integers so it is an integer
<span>2. we originally defined that b≠0 and d≠0 so we're good
</span>therefore, the sum of any 2 rational numbers will always be a rational number <span>is the correct answer.</span>
Answer:
V =113.04
Step-by-step explanation:
A sphere has a surface area of 113.04
SA = 4 pi r^2
113.04 = 4 pi r^2
Let pi 3.14
113.04 = 4 *(3.14) r^2
113.04 = 12.56 r^2
Divide each side by 12.56
113.04/12.56 = r^2
9 = r^2
Take the square root of each side
3 =r
We want to find the volume
V = 4/3 pi r^3
V = 4/3 (3.14) 3^3
V =113.04
